Triangles (Basics) Quiz

Test your understanding of triangle concepts.

Try to answer the questions before checking the answers at the bottom of the page.

Question 1

What is the sum of the interior angles of a triangle?

A) \(90^\circ\)
B) \(180^\circ\)
C) \(360^\circ\)

Question 2

Find the area of a triangle with base \(6\) and height \(4\).

A) \(10\)
B) \(12\)
C) \(24\)

Question 3

What is the hypotenuse of a right triangle with sides \(6\) and \(8\)?

A) \(9\)
B) \(10\)
C) \(12\)

Question 4

Two interior angles of a triangle are \(50^\circ\) and \(60^\circ\).

Find the third angle.

A) \(60^\circ\)
B) \(70^\circ\)
C) \(80^\circ\)

Question 5

What is the sum of the exterior angles of a triangle?

A) \(180^\circ\)
B) \(270^\circ\)
C) \(360^\circ\)

Question 6

How many sides and angles does a triangle have?

A) \(2\) sides and \(2\) angles
B) \(3\) sides and \(3\) angles
C) \(4\) sides and \(4\) angles

Question 7

Find the area of a triangle with:

Base \(= 10 \text{ cm}\)
Height \(= 5 \text{ cm}\)

A) \(25 \text{ cm}^2\)
B) \(50 \text{ cm}^2\)
C) \(15 \text{ cm}^2\)

Question 8

A right triangle has hypotenuse \(13\) and one side \(5\).

Find the missing side.

A) \(8\)
B) \(10\)
C) \(12\)

Question 9

Two exterior angles of a triangle are \(110^\circ\) and \(130^\circ\).

Find the third exterior angle.

A) \(100^\circ\)
B) \(120^\circ\)
C) \(140^\circ\)

Question 10

What does the height of a triangle represent?

A) The longest side of the triangle
B) The distance around the triangle
C) The perpendicular distance from the base to the opposite vertex

Answers

B – \(180^\circ\)
B – \(12\) (Area \(= (1/2)(6)(4) = 12\))
B – \(10\) (Using the Pythagorean formula)
B – \(70^\circ\) (\(50 + 60 + x = 180\))
C – \(360^\circ\)
B – \(3\) sides and \(3\) angles
A – \(25 \text{ cm}^2\) (Area \(=\frac{1}{2}(10)(5)=25\))
C – \(12\) (\(13^2=5^2+x^2\))
B – \(120^\circ\) (\(110^\circ+130^\circ+x=360^\circ\))
C – The perpendicular distance from the base to the opposite vertex

Mulkek